240996417960480 has 3072 divisors, whose sum is σ = 1017143466393600. Its totient is φ = 46562717859840.

The previous prime is 240996417960479. The next prime is 240996417960497. The reversal of 240996417960480 is 84069714699042.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 857638497940 + ... + 857638498220.

It is an arithmetic number, because the mean of its divisors is an integer number (331101388800).

Almost surely, 2^{240996417960480} is an apocalyptic number.

240996417960480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240996417960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508571733196800).

240996417960480 is an abundant number, since it is smaller than the sum of its proper divisors (776147048433120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240996417960480 is a wasteful number, since it uses less digits than its factorization.

240996417960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 240996417960480 in words is "two hundred forty trillion, nine hundred ninety-six billion, four hundred seventeen million, nine hundred sixty thousand, four hundred eighty".